Atkin-Lehner |
2+ 3- 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
58080s |
Isogeny class |
Conductor |
58080 |
Conductor |
∏ cp |
60 |
Product of Tamagawa factors cp |
deg |
13178880 |
Modular degree for the optimal curve |
Δ |
-4.9213050369489E+24 |
Discriminant |
Eigenvalues |
2+ 3- 5+ -3 11- -2 4 -7 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-159446701,782208418715] |
[a1,a2,a3,a4,a6] |
Generators |
[2717:607500:1] |
Generators of the group modulo torsion |
j |
-510585996566086144/5605041796875 |
j-invariant |
L |
5.6323731882107 |
L(r)(E,1)/r! |
Ω |
0.077222308341296 |
Real period |
R |
1.2156187568201 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000000592 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
58080e1 116160ha1 58080bz1 |
Quadratic twists by: -4 8 -11 |